Hermite-Hadamard type inequalities for \(F\)-convex function involving fractional integrals

DOI10.1186/s13660-018-1950-1zbMath1498.26063OpenAlexW2907206424WikidataQ60926419 ScholiaQ60926419MaRDI QIDQ2061508

Pshtiwan Othman Mohammed, Mehmet Zeki Sarikaya

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1950-1

zbMATH Keywords

integral inequalities\(F\)-convexity\(\lambda_{\varphi}\)-preinvexity

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10) Fractional ordinary differential equations (34A08)

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Cites Work

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• On \(h\)-convexity
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• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• Some remarks on \(s\)-convex functions
• Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex functions via fractional integral
• Fractional Hermite-Hadamard inequalities for \(({\alpha},m)\)-logarithmically convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Sulle stratificazioni convesse
• Pseudo-Convex Functions
• Approximately Convex Functions

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